# Consider electromagnetic waves in free space of the form Ē(x,y,z,t)= Ē. (x, y )e i kz-ot)...

###### Question:

Consider electromagnetic waves in free space of the form Ē(x,y,z,t)= Ē. (x, y )e i kz-ot) B(x, y, z,t)= B. (x, y )ek-et) where Ē. (x,y) and B. (x,y) lie in the x-y plane (no z-component). (a) Use Maxwell's equations to find the relationship between k and o. (b) Show that Ē.(x,y) and B. (x,y) satisfy the electrostatic/magnetostatic version of Maxwell's equations. Hint: It may be helpful to break up the curl into components.

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